Class 7 Maths Chapter 13 Test Paper Set-1 Pdf Download CBSE

Test Paper Of Class 7 Maths Chapter 13 Exponents And Power

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Chapter 13 Test Paper (01)

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Class 7 Maths Chapter 13 Exponents And Power Test Paper Set-1 Text Form:-

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SAMPLE PAPER (01)

 CLASS: 7                                                         MAX. MARKS : 30 SUBJECT: MATHEMATICS                           TIME: 1:30 HOUR CH: 13 (Exponents and Powers)

General Instructions:

I. All questions are compulsory.

II. This question paper contains 14 questions divided into four Sections A, B, C and D.

III. Section A has 5 questions of 1 mark each. Section B has 4 questions of 2 marks each. Section C has 3 questions of 3 marks each. and Section D has 2 questions of 4 marks each.

IV. Use of Calculators is not permitted.

Section – A

In Questions 1 to 5, there are four options, out of which one is correct. Write the correct answer.

1. Out of the following, the number which is not equal to – 8/27 is

(a) – (2/3)³                                   (b) (-2/3)³

(c) – (2/3)³                                   (d) (-2/3) x (-2/3) x (-2/3)

2. x is a non-zero rational number. Product of the square of x with the cube of x is equal to the

(a) second power of x                 (b) third power of x

(c) fifth power of x                       (d) sixth power of x

3. (1⁰ + 2⁰ + 3⁰) is equal to

(a) 0                  (b) 1                   (c) 3                      (d) 6

4. In standard form, the number 72105.4 is written as 7.21054 × 10ⁿ where n is equal to

(a) 2               (b) 3                     (c) 4                   (d) 5

5. Which power of 8 is equal to 2⁶?

(a) 3               (b) 2                     (c) 1                  (d) 4

Section – B

6. Express each of the following numbers using exponential notation:

(i) 512                                       (ii) 729

7. Simplify:

(i) 2 × 10³                                 (ii) 7 2 × 2²

8. Express the following numbers in standard form:

(i) 5,00,00,000                         (ii) 70,00,000

9. Using laws of exponents, simplify and write the answer in exponential form:

(i) 3² × 3⁴ × 3⁸                           (ii) 6¹⁵ ÷ 6¹⁰

Section – C

10. Express the following numbers as a product of powers of prime factors:

(i) 72                             (ii) 432                          (iii) 1000

11. Identify the greater number.

(i) 4³ or 3⁴                    (ii) 5³ or 3⁵                     (iii) 2⁸ or 8²

12. Simplify:

(i) 2 × 10³                   (ii) 7² × 2²                       (iii) 2³ × 5

Section – D

13. . Simplify and express each of the following in exponential form:

(a) 12⁴ x 9³ x 4/6³ x 8² x 27                  (b) 2³ x a³ x 5a⁴ 

(c) 2 x 3⁴ x 2⁵/9 x 4²                             (d) (3⁷/3²) x 3⁵

14. Express the number appearing in the following statements in standard form.

(a) In a galaxy there are on an average 100,000,000,000 stars.

(b) The universe is estimated to be about 12,000,000,000 years old.

(c) The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300,000,000,000,000,000,000 m.

(d) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.

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